100210110112121 has 16 divisors (see below), whose sum is σ = 104161256821440. Its totient is φ = 96292043158080.

The previous prime is 100210110112103. The next prime is 100210110112187. The reversal of 100210110112121 is 121211011012001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210110112121 is a prime.

It is a super-2 number, since 2×100210110112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210110112096 and 100210110112105.

It is not an unprimeable number, because it can be changed into a prime (100210110192121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152874350 + ... + 153528456.

It is an arithmetic number, because the mean of its divisors is an integer number (6510078551340).

Almost surely, 2^{100210110112121} is an apocalyptic number.

It is an amenable number.

100210110112121 is a deficient number, since it is larger than the sum of its proper divisors (3951146709319).

100210110112121 is a wasteful number, since it uses less digits than its factorization.

100210110112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679384.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100210110112121 its reverse (121211011012001), we get a palindrome (221421121124122).

The spelling of 100210110112121 in words is "one hundred trillion, two hundred ten billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".